In Figure 3, OABC is a circle. It is given that AB produced and OC produced meet at D. D B Figure 3 A (b) Suppose that ZAOD=90°. A rectangular coordinate system, with O as the origin, introduced in Figure 3 so that the coordinates of A and D are (6,0) and (0,12) respectively. If the ratio of the area of ABCD to the area of AOAD is 16:45, find (i) the coordinates of C, (ii) the equation of the circle OABC.

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